This write up contains a library of the GSP scripts that I created (Fall 2001). I created all of these scripts using version 3 of GSP, and I am in the process of converting the files to GSP 4.05. Until I am finished, some of the links may not work.
Dividing Segments
| Trisect a given line segment.
GSP3 Script | GSP4 Script Tool |
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| Divide a given segment into two parts that
form the golden ratio.
GSP3 Script | GSP4 Script Tool |
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Triangles -- Special Points and Special Circles
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Construct the centroid G of a given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct the orthocenter H of a given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct the circumcenter C of a given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct the circumcircle of a given triangle.
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Construct the incenter I of a given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct the incircle of a given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct the center of the nine point circle for a given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct the nine point circle for a
given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct the triangle centers (H, G, C, and I) for a given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct the triangle centers and the Euler line for a given triangle.
GSP3 Script | GSP4 Script Tool |
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Triangles from Triangles
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Construct the medial triangle for a given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct the triangle with vertices at the midpoints of the segments from the orthocenter to the vertices of a given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct the orthic triangle for a given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct the pedal triangle for a given triangle.
GSP3 Script | GSP4 Script Tool |
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Construct a triangle which has sides of the lengths of the three medians of a given triangle.
GSP3 Script | GSP4 Script Tool |
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Regular Polygons
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Construct an equilateral triangle, given a side.
GSP3 Script | GSP4 Script Tool |
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Construct a square, given a side.
GSP3 Script | GSP4 Script Tool |
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Construct a regular pentagon, given a side.
GSP3 Script | GSP4 Script Tool |
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Construct a regular hexagon, given a side.
GSP3 Script | GSP4 Script Tool |
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Construct a regular octagon, given a side.
GSP3 Script | GSP4 Script Tool |
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Construct a regular dodecagon, given a side.
GSP3 Script | GSP4 Script Tool |
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Tangent Circles
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Given a circle and a point outside the circle, construct
two lines that are tangent
to the circle and go through the given point.
GSP3 Script | GSP4 Script Tool |
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Construct a circle that is tangent to two given circles.
GSP3 Script | GSP4 Script Tool |
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Construct a different circle that is tangent to two given circles.
GSP3 Script | GSP4 Script Tool |
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A Few More Constructions
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Construct an isosceles triangle, given the base and altitude.
GSP3 Script | GSP4 Script Tool |
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Construct a right triangle given one of its legs.
GSP3 Script | GSP4 Script Tool |
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Given a triangle, construct a square that has the same area as the triangle.
GSP3 Script | GSP4 Script Tool |
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Given points A and B, construct an angle BAD measuring 30 degrees.
GSP3 Script | GSP4 Script Tool |
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